Volume InformationSource: Proceedings of the Royal Society of London. Series A, Containing Papers of aMathematical and Physical Character, Vol. 96, No. 674 (Aug. 1, 1919), pp. i-vPublished by: The Royal SocietyStable URL: http://www.jstor.org/stable/93766 .
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PROCEEDIN)GS
OF THE
ROYAL SOCIETY OF LONDON SERIES A
CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER.
VOL. XCVL
LONDON:
PRINTED FOR THE ROYAL SOCIETY AND SOLD BY
HARRISON AND SONS, ST. MARTIN'S LANE, PRINTERS IN ORDINARY TO EIS MAJESTY.
Fft IARY, 1920.
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LONDON
ARRISON AND SONS, PRINTERS IN ORDINARY TO ITIS MAJESTYS ST. MARTIN$ LANB
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CONTrENTS.
SERIES A. VOL. XCVT.
No. A 674.-August 1, 1919. PAGE
Zona.1 Harmonics of High Order in Terms of Bessel Functions. By John R. Airey, M.A., D.Sc. Communicated by Prof. 3. W. Nicholson, FAS .R..................... 1
Atmnospheric Stirrinig Measured by Pr ecipitation. By Lewis F. Richardson. Com- nmunicated by Sir Napier Shaw, F.R.S. 9.................................................... 9
Measurement of W.ater in Clouds. By L. F. Richardson. Coimnunicated by Sir N apier Shaw, F. R3 . .......................................... ......................... 1-9
Magnetic Storms of March 7-8 and August 15-16, 1918, anid their Discussion. By C. Chree, Sc.D., LL.D., F..RS ...................................................... 32
On the Initer-crystalline Fracture of: Metals under Prolonged Application of Stress (Preliminary Paper). By Walter 'Rosenbain, B.A., D.Sc., F.R.S., and Sydney L. Archbutt, F.T.C. (both of the National Physical Laboratory). (Plates 1-3.) 55
On the Determination of the Secular Acceleration of the Afooi's Longitude from Modern Observations. By Ernest W. Brown, F.R.S ............................... 69
Oni the Area of Surfaces. By Prof. W. HI. Younig, Se.D. F.R.S ..........................71
On Change of the Independent Variables in a Multiple Integral. By Prof. W. H. Young, Sc.D., F.RS ......................... . .. 82
No. A 675.-September 4, 1919.
On Certain Independent Factors in MLental MeasurementsV By J. C. Maxwell Garnett (late Fellow of Trinity College, Cambridge). Comrni unicated by Prof. A. N. Whitehead, F.R.S . ............................................................ 91
Note on the Intensity Decrement in the Balmer Series. By R 1. Merton, D.Sc., and 3. W. Nicholson, X F.RS .. . ..................................................................112
Researches on the Clhemistry of Coal. Part 1.-The Action of Py ridine upon the Coal Substance. By William A. Bone, 1D.Sc., F.RS., and Reginald J. Sarjant, M .S c. ......................... ........................ ............... I ...... ........................ 119
A Study of Catalytic Actions at Solid Surfaces. I.-Hydrogenation of Unsaturated Fats in the Liquid Stat in Presence of Nickiel By E. F. Armstronlg, D.Se., F.I.C., anid T. P. Hilditch, D.Sc., F.I.C. Communicated by Prof. H. E. Armstrong, F.R.S ............................. .................... .................................. 137
The Value of the, Rydberg Conistat for Spectral Series. By W. E. Curtis, B.Sc., Demonstrator of Astrophysics at the Imperial College of Science, South Kensington. Communicated by Prof. A. Fowler F.RS . ........................... 147
Monoclinic Double Selenates of the Cobalt Group. By A. E. H. Tutton, D.Sc., M .A ., F . , . .............................. .............. f.- .......... 156
A 2
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i-
PAGE No. A 676.-October 9, 191.9,
The, Tranisparenc'y of Biotite to infra-red Radiations. By L. C. Martini, A.R.C.S., DJI.C., B.Sc., Lecturer in the Technicalt Optics Departmient, Imnperial College of Science anid Technologv. Commuinicated by Prof. H.; L. Callendar, F.R.S... 18,o
Experiments with Perforated Electrodes on the Nature of the Dischiarg in Gases at Low Pressures. By F. W. Astoni, M.A., D.S ., Clerk-Maxwell Studenot of the'University of Cambridge. Com11munlicated by C. T. R. Wilson, F.R.S . ...... 200
De Saint-Venan't Solution for the Flexur-e of Cantilevel-s of Cross-sectioi in the form, of Comnplete and Curtate Circuilar Sectors, and on the Inifluencee of thle Manner of 'Fixiiny the Built-in Enid of the Ca. ntilever on its Deflection. By MVary Seegar, B.S c., and Karl- Pearson, P7.R.S . ...... .......................... 211
On the Relation between Wind anid Distribution of Pressure. By H--arold Jeffreys, m.A., D.Sc. C,ommiu-nicated bySir NapierSbhaw, F.R.S................. 2 33
On a New M-ethiod of Driving of Poisonous CGases. By Mrs. H-ertha Ayrton. Commuinicated by Prof. T. Maher, F.R. S. (Plate 4) .~.... . ..,..,..,......... 2 4 9
No. A 677.--Noveymber 1, 19 9.
Oni the Colours of the Strim in Mica, and thle Padiationi fromi La iinar Diffincting Boundaries. By Phanindra Nath GThoslh, M.A., Le'&turer o-n Optics in the Calcutta University. Conin unicated bv Dr. C(ilbe 4t,1T. Wal11er, C.S,T,,Sc-.D, F.ER1.S...........................I.................... 25-7
Diffusion of Light by Rai a, Cloud, oi ?Fog. By A. Mallock, F.1[i.S, ............267
Bkerian Lectixe: A Study of the Line, SpectirjuIn of Sodiumy as Excited by Filuorescen-ce. Bvy the Honi. R. J. Strutt, F:.RS., imperial College, ki_'outh K eilsington. (Plato 5)... .. ....................................... .272
Thle Ads orption of Gases at Luov anid Moder.'ate Concentrations, Part 3.-Deduc- tion of the Theoretical Adsorption lsosztere and Isotherm. Part 11.-Experi- m-iental'Verification of the F orir of the Theoretical Isostere and isotheri AS,
ByA, M. Willia ins,- M.A., D.Sc., Chemiistrv Department, University of E_1dinburgh. Co aimunicated by Prof. J_am es Walker, F.RKS. .., .~........... ... 2 8 7
The Adsorption of Gases at Low aind Moder-ate C(oncentrations. Part Ill.--Ixperi- mental V'erificationi of the Constants in the Theor'etical Ads-rption I1sostere lIly A. M. Williams, L.A., P.Sc., Chemistry Department, Univer sity of Edinbu rgh. Comaiinuicated by Prof, Jannwe W'alker, FR.S ..... . .............. 298~
No. A 678.--Doeember 15, 1919.~
Address of the P resident,, Sir J. J1. Thomson, 0. M., at the Anniversary Meeting,. Decemiber 1, 1919........................................ 31.
A. Study of Catalytic Actionsat, Solid'Surfaces. '11.-The Transference of Hydrogen from Stuirated to Uns'aturated, Organici Com pounds in the Liqunid State in Presence of Mletallic Nickel.. By Dr. E. F. Armstrong, F.T.C.,, anid -Dr. T. P. 11ilditch F.1.C., Comimunicated by Prof. IL. E. Armstrong .R. ........322
T'idal Friction in the Tirli, Sea. By G. 1. Taylor, M.A. Communicated by Sir Napier Shaw, F.R.S. (Abstract)............ . ..... .... .... I.......,.. ....,........ I-, 330
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'V
PAGE
A Linear Associative Algebra suitable for Electromagnetic Relations and the Theory of Relativity. By W. J. Johnston, M.A., Assistant Professor of Pure AMathematics in the University College of Wales, Aberystwyth. Communicated by Sir Joseph Larmor, F.R.S. ........... ............................... 331
On Generalized Relativity in Connection with Mr. W. J. Johnston's Symbolic Calculus. By Sir Joseph Larmor, F.R.S., Cambridge ................................. 334
No. A 679.-January 2, 1920.
On the Variation with Frequency of the Conductivity and Dielectric Constant of Dielectrics for High-Frequency Oscillations. By G. E. Bairsto, D.Sc., D.Eng. Communiicated by Prof. J. A. Fleminig, F.R.S. ......................................... 363
On the Secondary Spectrum of Hydrogen. By T. R. Merton, M.A., D.Sc. Com- municated by Prof. A. Fowler, F.R.S. (Plates 6 and 7) ............................... 382
On the Spectra of Isotopes. By T. R. Merton, M.A., L.Se. Communicated by Prof. A. Fowler F.R 5 388
The Scattering of X- and y-Rays by Rings of Electrons-A Crucial Test of the Electron Ring Theory of Atoms. By G. A. Schott, B.A., D.Sc., Professor of Applied Mathematics, University College of Wales, Aberystwyth. Com- municated by Sir J. Larmor, F.R.S ................................................too...... ... 395
A Note on Dr. Chree's Recent Discussion of Two Magnetic Storms. By S. Chapman, M.A., D.Sc., F.R.S., Professor of Mathematics and Natural Philosophy in the University of Manchester .................*........................ 424
An Explanation of Criticisms on Dr. S. Chapman's Recent Paper, "c An Outline of a Theory of Magnetic Storms." By C. Chree, Sc.D., LL.D. F.R.S . ................ 426
No. A 680.-February 3, 1920.
The Measurement of Magnetic Susceptibilities of Low Order. By Ernest Wilson, M.Inst.C.E., M.I.E.E., Siemens Professor of Electrical Engineering in the University of London. Communicated by Prof. J. W. Nicholson, F.R.S. ...... 429
On the Variations of Wave-length of the Oscillations Generated by Three-electrode Thermionic Tubes due to Changes in Filament Current, Plate Voltage, Grid Voltage or Coupling. By W. H. Eccles, D.Sc., and J. H. Vincent, M.A., D.Sc, Communicated by Prof. W. H. Bragg, C.B.E., F.R.S. ........................... 455
Equal Parallel Cylindrical Conductors in Electrical Problems. By F. J. W. Whipple, M.A. Communicated by Dr. C. Chree, F.R.S .465
OBITUARY NOTICES OF FELLOWS DECEASED.
Sir William Crookes (with portrait) ............................. . . i Sir Joseph Wilson Swan (with portrait) ..................x......... ... ix George Carey Foster .xv
Index .. . .... xix
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